Andrew Graham

activity

20242026

collaborators

3 papers

math.NT2026

The non-abelian Leopoldt conjecture and equalities of $L$ -invariants

Daniel Barrera Salazar, Andrew Graham, Chris Williams

Let $G$ be a reductive group quasi-split at $p$ . Using arguments of Hansen--Thorne, we show that under the non-abelian Leopoldt conjecture (NALC), Hansen's $p$ -adic overconvergent…

math.NT2025

Local-global compatibility and the exceptional zero conjecture for GL(3)

Daniel Barrera Salazar, Andrew Graham, Chris Williams

We prove exceptional zero conjectures for $p$ -ordinary regular algebraic cuspidal automorphic representations of $GL_{3} (A)$ which are Steinberg at $p$ . We make no…

math.NT2024

Nearly higher Coleman theory and p-adic L-functions for $GSp (4) \times GL (2)$ and $GSp (4) \times GL (2) \times GL (2)$

Andrew Graham, Rob Rockwood

We construct four-variable $p$ -adic $L$ -functions for the spin Galois representation of a Siegel modular form of genus 2 twisted by the Galois representation of a cuspidal modular…

The non-abelian Leopoldt conjecture and equalities of L-invariants

Local-global compatibility and the exceptional zero conjecture for GL(3)

Nearly higher Coleman theory and p-adic L-functions for GSp(4)×GL(2) and GSp(4)×GL(2)×GL(2)

The non-abelian Leopoldt conjecture and equalities of $L$ -invariants

Nearly higher Coleman theory and p-adic L-functions for $GSp (4) \times GL (2)$ and $GSp (4) \times GL (2) \times GL (2)$